Answer:
12.61 miles
Step-by-step explanation:
The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.
So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°
Since we have two sides and an angle, we use the sine rule
a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown
So, sinB = bsinA/a
= 9sin26/6
= 3(0.4384)/2
= 1.3151/2
= 0.6576
B = sin⁻¹(0.6576)
= 41.11°
≅ 41.1°
We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from
26° + 41.1° + C = 180° (sum of angles in a triangle)
67.1° + C = 180°
C = 180° - 67.1° = 112.9°
Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have
a/sinA = c/sinC
c = asinC/sinA
= 6sin112.9°/sin26°
= 6(0.9212)/0.4384
= 5.5271/0.4384
= 12.61 miles
Which of the following equations is represented by a line passing through (-9, 7) and (3, 3) in the
standard (x, y) coordinate plane?
Answer:
y = -1/3x + 4
Step-by-step explanation:
(-9, 7) and (3, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-7)/(3+9)
m=(-4)/12
m= -1/3
Slope-intercept:
y - y1 = m(x - x1)
y - 7 = -1/3(x + 9)
y - 7 = -1/3x - 3
y = -1/3x + 4
Step-by-step explanation:
[tex]soln \\ \frac{3 - 7 }{3 - - 9} \\ = \frac{ - 4}{ - 12} \\ = \frac{1}{3 } \\ \frac{y - 7}{x - 3} = \frac{1}{3} \\ then \: you \: cross \: multiplication. \\ 3(y - 7) = 1(x - 3) \\ 3y - 7 = x - 3 \\ 3y = x - 3 + 7 \\ 3y = x + 4 \\ \frac{3y}{3} = \frac{x}{3} + \frac{4}{3} \\ y = \frac{x}{3} + \frac{4}{3} [/tex]
10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
A.7/5
B.5/7
C.7/10
D.10/7
Answer:
C
20 character minimum
a business woman bought a personal computer for $108000.calculate her selling price on the personal computer if she wants to make profit of 25%
Answer:
$135,000
Step-by-step explanation:
108000*1.25
Alex is a faster runner than Carlos. The chart below relates how many laps around the track each runs in the same amount of time.
Number of Laps Run
Alex Carlos
4 3
8 6
12 9
How many laps will Alex have run in the time it take Carlos to run 12 laps?
Answer:
16
Step-by-step explanation:
Alex will run 16 laps in the time it take for Carlos to run 12 laps.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given are the values related to the number of laps run by Alex and Carlos.
The number of laps run by Alex is forming the multiples of 4 or 4x.
Number of laps run by Carlos is forming the multiples of 3 or 3x.
When x = 1,
Alex : 4 × 1 = 4
Carlos : 3 × 1 = 3
When x = 2,
Alex : 4 × 2 = 8
Carlos : 3 × 2 = 6
When x = 3,
Alex : 4 × 3 = 12
Carlos : 3 × 3 = 9
When x = 4,
Alex : 4 × 4 = 16
Carlos : 3 × 4 = 12
Hence Alex ran 16 laps in the same time for which Carlos ran 12 laps.
Learn more about Multiplication here :
https://brainly.com/question/5992872
#SPJ2
Calculate the distance between the points K = (1, -1) and P=(9.-6) in the coordinate plane.
Give an exact answer (not a decimal approximation)
Answer:
√89
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(9 - 1)² + [-6 - (-1)]²
√(8)² + (-5)²
√64 + 25
√89
How to write 0.00080 as a power of 10?
Answer:
8 × 10⁻⁴
Step-by-step explanation:
You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a number less than 3 and flipping tails is
Answer:
1/5
Step-by-step explanation
The spinner has the numbers 1-5 and they want the numbers less than 3 there a 2/5 then multiply the denominator by 1/2 thin divide it by 2
2/10 divided by 2 = 1/5
.
[48 (72-12) -225] ÷ 9
someone pls help
Answer:
295
Step-by-step explanation:
Answer:
295!
Step-by-step explanation:
72 - 12 = 60
48 x 60 = 2880
2880 - 225 = 2655
2655 / 9 = 295
Have you ever heard of PEMDAS? It is the order in which to solve equations like this one. Here's what it stands for:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
I hope this is helpful for future math equations similar to this one.
Which value below represents the solution to 64 = 4u
Answer:
You didnt write the options
Answer:
u=16
Step-by-step explanation:
64=4u
divide both sides by 4
16=u
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Infinitely many solutions
Step-by-step explanation:
7x - 11 = 5(x - 2) + 2x - 1
7x - 11 = 10x - 10 + 2x - 1
7x - 11 = 7x - 11
No matter what number you plugin, it will always be equal.
1) 7x-11 = 5(x-2)+2x-1
2) 7x-11=5x-10+2x-1
3)7x-11=7x-11
4)0=0
5)Would cancel each other out.
6) So I guess no solutions?
True or False: When conducting a survey of a group of people, you must interview every person in that population A Truc B False
using the equation y=x , what would be the value of y if the value of x is 2
Answer:
y = 2
Step-by-step explanation:
y = x
x = 2
Plug in the given value.
y = (2)
This is already simplified.
Therefore, when x = 2, y = 2.
Hope this helps!
A system of equations is created by using the line that is created by the equation 3x-2y=-4 and the line that is created
by the data in the table below.
Х
y
-9
-3
-1
-5
3
3
5
7
What is the y-value of the solution to the system?
Answer:
y=6x-8
Step-by-step explanation:
3x-2y=-4
3x^2-2y^2=-4^2
6x-y=8
y=6x-8
A. y=-2x+6
B. y=2x +6
C. y= -1/2x +6
D. y=1/2x+6
Answer:
A. y=-2x+6
Step-by-step explanation:
HELPPPPPPP
What is the value of x?
Answer:
the angles are supplementary
so, 5x + 140 = 180
5x = 180 - 140
5x = 40
X = 40
5
X = 8
What is the solution to this system
Answer:
the solution to the system is (1,3)
Step-by-step explanation:
x = 1 , y = 3
Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.
Answer:
b = -3.
Step-by-step explanation:
If the 3 points are collinear then:
Slope of AB = Slope of BC and so
(0-2)/(b + 6) = (-4-0)/( 3 - b)
-4(b + 6) = -2(3 - b)
-4b - 24 = -6 + 2b
-24 + 6 = 2b + 4b
6b = -18
b = -3.
On a test that has a normal distribution, a score of 32 falls three standard
deviations below the mean, and a score of 82 falls two standard deviations
above the mean. Determine the mean of this test.
Answer:
Mean = 62
Step-by-step explanation:
X = mean ± sd
82 = mean + 2(s.d) - - (1)
32 = mean - 3sd ___(2)
82 = mean + 2sd
82 - 32= 2sd + 3sd
50 = 5sd
sd = 50/5
sd = 10
From (2):
32 = mean - 3sd
32 = mean - 3(10)
32 = mean - 30
32 + 30 = mean
62 = mean
3 apples cost $1.00. How many apples for $2.00
Answer:
6 apples
Step-by-step explanation:
3 apples cost $1.00
so for $2.00, 2x3÷1=6
hope it helps. plz mark me as brainliest.
Answer:
6 apples
Step-by-step explanation:
if three apples are 1 dollar then every time you add a dollar you would get three more apples
so it would look somthing like
1$ = 3 apples
2$= 6 apples
3$= 9 apples
4$= 12 apples
so on
HELPPPPPPPPP
What is the value of x in the figure at the right?
Answer:
x=30
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
60=2x
/2 /2
30=x
(50 POINTS) Write out each sum.
Step-by-step explanation:
12. n^2+2n
if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.
13. 8-2(2^n)
if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.
Hope that helps :)
The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your steps
(200 x 3) + (50 x 3)
200x3=600
50x3=150
600+150=750
750
Describe what you normally do on Sunday
my normal routine except i go to church
Least:
Greatest:.
Median
Lower Quartile Range:
Upper Quartile Range:
thx :)
Answer:
Below :)
Step-by-step explanation:
Least/Minimum: 0
Greatest/Maximum: 6
Median: 2
Lower Quartile Range: 1
Upper Quartile Range: 3
Find median:
0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 6
Find Lower Quartile:
0, 1, 1, 1, 1, 1, 1, 2, 2, 2
Find Upper Quartile:
2, 2, 3, 3, 3, 3, 4, 4, 4, 6
"You go shopping and notice that 25 kg of PEI’s Famous Potatoes cost $12.95, and 10 kg of Idaho’s Potatoes cost $5.78.
Which is the better deal?
Justify your answer."
Answer:
PEI famous potato is a better deal
Step-by-step explanation:
Given that :
PEI potato :
25kg costs $12.95
Price per kg :
$12.95 / 25 = $0.518 per kg
IDAHO Potato :
10kg costs $5.78
Price per kg:
$5.78 / 10
= $0.578 per kg
0.518 < 0.578
Hence, PEI famous potato is a better deal
in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O
Answer:
D
Step-by-step explanation:
lol this is a weird math question
jk
Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.
Which of the following expressions results in 0 when evaluated at x = 3?
(x + 3)(x + 12)
(x + 20)(x - 3)
-20x(x + 3)
(x + 8)(x - 5)
PR and os are diameters of circle T. What is the
measure of SR?
50°
* 80°
• 100°
120
Answer:
100degrees
Step-by-step explanation:
Find the diagram attached
From the diagram
<PQT =<TRS = 40
Since the triangle STR is isosceles, here,
<TSR =<TRS = 40
Also the sum of angle in a triangle is 189, hence:
Arc SR+<TSR +<TRS = 18₩
ArcSR +40+40=180
ArcSR +80=180
ArcSR = 180-80
ArcSR = 100degrees
Hence the measure of SR is 100degrees
The measure of arc SR is 100°. The correct option is the third option - 100°
Calculating the measure of an Arc
From the question, we are to determine the measure of arc SR.
The measure of arc SR = <STR
Now, we will determine the measure of <STR
In the diagram, T is the center of the circle.
∴ TP and TQ are radii.
Then, we can conclude that ΔPQT is an isosceles triangle.
Recall: Base angles of an isosceles triangle are equal.
∴ <PQT = <TPQ = 40°
Now, consider ΔPQT
<QTP + <TPQ + <PQT = 180° (Sum of angles in a triangle)
<QTP + 40° + 40° = 180°
<QTP + 80° = 180°
<QTP = 180° - 80°
<QTP = 100°
Also, in the diagram, <QTP and <STR are vertically opposite angles
NOTE: Vertically opposite angles are equal
That is, <QTP = <STR
∴ <STR = 100°
Hence, the measure of arc SR is 100°. The correct option is the third option 100°
Learn more on Calculating the measure of an arc here: https://brainly.com/question/3506007
Here is the complete and correct question:
Line PR and Line QS are diameters of circle T. What is the measure of Arc SR?
50°
80°
100°
120°
Please find the attached image
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
Answer:
The chlorine tablets are $36 and the pH test kit is $4.40.
Step-by-step explanation:
So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101. From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.
Now I did 90·40%. I got $36
Then I did 11·40%. I got 4.4
I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.